Find the LCM of 187, 722, 152, 329, 161 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 187, 722, 152, 329, 161. So, keep reading to learn more.
Given numbers are 187,722,152,329,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,722,152,329,161 is 4086603752.
Find LCM of 187,722,152,329,161 with Prime Factorization
2 | 187, 722, 152, 329, 161 |
7 | 187, 361, 76, 329, 161 |
19 | 187, 361, 76, 47, 23 |
187, 19, 4, 47, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 187 x 19 x 4 x 47 x 23 = 4086603752
Therefore, the lowest common multiple of 187,722,152,329,161 is 4086603752.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
187 x 722 x 152 x 329 x 161 = 1087036598032
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
187 : 1, 11, 17, 187
722 : 1, 2, 19, 38, 361, 722
152 : 1, 2, 4, 8, 19, 38, 76, 152
329 : 1, 7, 47, 329
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,722,152,329,161, is 1.
Now, the common factors can be found like this.
187:11x 17
722:2x 19x 19
152:2x 2x 2x 19
329:7x 47
161:7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 19 = 266
Therefore, the value for common factors is 266.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 1087036598032/(1x266)
LCM = 1087036598032/266
LCM = 4086603752
Thus, we can understand that the LCM of 187,722,152,329,161 is 4086603752.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 187, 722, 152, 329, 161?
Answer: LCM of 187, 722, 152, 329, 161 is 4086603752.
2. How to calculate the LCM of 187, 722, 152, 329, 161?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 187, 722, 152, 329, 161.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.